具有多个转折点的奇异扰动边界层和内层问题

IF 1.7 4区数学 Q1 Mathematics

Boundary Value Problems Pub Date : 2024-03-28 DOI:10.1186/s13661-024-01853-3

Xinyu Wang, Na Wang

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引用次数: 0

摘要

在研究具有转折点的奇异扰动边界问题时，解在这些点附近会发生急剧变化，并表现出各种内部现象。我们采用匹配渐近展开法分析并求解了一个具有多个转折点的奇异扰动边界和内层问题，得到了一个与数值解十分吻合的复合展开式。求解结果表明与特殊函数有很强的关联，微分不等式理论验证了这一点。

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Singular perturbation boundary and interior layers problems with multiple turning points

In the study of singularly perturbed boundary problems with turning points, the solution undergoes sharp changes near these points and exhibits various interior phenomena. We employ the matching asymptotic expansion method to analyze and solve a singularly perturbed boundary and interior layers problem with multiple turning points, resulting in a composite expansion that fits well with the numerical solution. The solution demonstrates a strong association with special functions, which is verified by the theory of differential inequalities.

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来源期刊

Boundary Value Problems MATHEMATICS, APPLIED-MATHEMATICS

CiteScore

3.00

自引率

5.90%

发文量

审稿时长

4 months

期刊介绍： The main aim of Boundary Value Problems is to provide a forum to promote, encourage, and bring together various disciplines which use the theory, methods, and applications of boundary value problems. Boundary Value Problems will publish very high quality research articles on boundary value problems for ordinary, functional, difference, elliptic, parabolic, and hyperbolic differential equations. Articles on singular, free, and ill-posed boundary value problems, and other areas of abstract and concrete analysis are welcome. In addition to regular research articles, Boundary Value Problems will publish review articles.